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103437707445 = 32523929033313
BaseRepresentation
bin110000001010101011…
…1100010100010110101
3100212222202021222022200
41200111113202202311
53143320023114240
6115304005015113
710321166002122
oct1402527424265
9325882258280
10103437707445
113a95a986636
12180690b4499
1399a5aa8767
145013845749
152a55e3e930
hex18155e28b5

103437707445 has 48 divisors (see below), whose sum is σ = 180158584320. Its totient is φ = 54900453888.

The previous prime is 103437707441. The next prime is 103437707479. The reversal of 103437707445 is 544707734301.

It is a happy number.

103437707445 is a `hidden beast` number, since 103 + 4 + 37 + 70 + 7 + 445 = 666.

It is not a de Polignac number, because 103437707445 - 22 = 103437707441 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 103437707445.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103437707441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31220109 + ... + 31223421.

It is an arithmetic number, because the mean of its divisors is an integer number (3753303840).

Almost surely, 2103437707445 is an apocalyptic number.

103437707445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103437707445 is a deficient number, since it is larger than the sum of its proper divisors (76720876875).

103437707445 is a wasteful number, since it uses less digits than its factorization.

103437707445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6466 (or 6463 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 45.

The spelling of 103437707445 in words is "one hundred three billion, four hundred thirty-seven million, seven hundred seven thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 45 239 717 1195 2151 2903 3313 3585 8709 9939 10755 14515 16565 26127 29817 43545 49695 130635 149085 693817 791807 2081451 2375421 3469085 3959035 6244353 7126263 9617639 10407255 11877105 28852917 31221765 35631315 48088195 86558751 144264585 432793755 2298615721 6895847163 11493078605 20687541489 34479235815 103437707445