Search a number
-
+
106820040915 = 32572232106281
BaseRepresentation
bin110001101111011111…
…0000111100011010011
3101012201110202022120200
41203132332013203103
53222231412302130
6121023352110243
710501046236500
oct1433676074323
9335643668520
10106820040915
1141336145855
1218851995383
13a0c4757303
145254b344a7
152ba2d57760
hex18def878d3

106820040915 has 72 divisors (see below), whose sum is σ = 224748714528. Its totient is φ = 46708865280.

The previous prime is 106820040907. The next prime is 106820040937. The reversal of 106820040915 is 519040028601.

It is not a de Polignac number, because 106820040915 - 23 = 106820040907 is a prime.

It is a super-2 number, since 2×1068200409152 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106820040915.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1002426 + ... + 1103855.

It is an arithmetic number, because the mean of its divisors is an integer number (3121509924).

Almost surely, 2106820040915 is an apocalyptic number.

106820040915 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106820040915 is an abundant number, since it is smaller than the sum of its proper divisors (117928673613).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106820040915 is a wasteful number, since it uses less digits than its factorization.

106820040915 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2106329 (or 2106319 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 106820040915 in words is "one hundred six billion, eight hundred twenty million, forty thousand, nine hundred fifteen".

Divisors: 1 3 5 7 9 15 21 23 35 45 49 63 69 105 115 147 161 207 245 315 345 441 483 735 805 1035 1127 1449 2205 2415 3381 5635 7245 10143 16905 50715 2106281 6318843 10531405 14743967 18956529 31594215 44231901 48444463 73719835 94782645 103207769 132695703 145333389 221159505 242222315 309623307 339111241 436000167 516038845 663478515 726666945 928869921 1017333723 1548116535 1695556205 2180000835 2373778687 3052001169 4644349605 5086668615 7121336061 11868893435 15260005845 21364008183 35606680305 106820040915