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100605060045 = 3357106460381
BaseRepresentation
bin101110110110010000…
…1110110001111001101
3100121200100011120121000
41131230201312033031
53122014343410140
6114114535330513
710161041620650
oct1355441661715
9317610146530
10100605060045
1139736a2a726
12175b8520a39
139643c8a539
144c25563897
15293c406a30
hex176c8763cd

100605060045 has 32 divisors (see below), whose sum is σ = 204403933440. Its totient is φ = 45990884160.

The previous prime is 100605060007. The next prime is 100605060091. The reversal of 100605060045 is 540060506001.

It is a happy number.

100605060045 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 0 + 50 + 600 + 4 + 5 = 666.

It is not a de Polignac number, because 100605060045 - 222 = 100600865741 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53229246 + ... + 53231135.

It is an arithmetic number, because the mean of its divisors is an integer number (6387622920).

Almost surely, 2100605060045 is an apocalyptic number.

100605060045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100605060045 is an abundant number, since it is smaller than the sum of its proper divisors (103798873395).

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

100605060045 is a wasteful number, since it uses less digits than its factorization.

100605060045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106460402 (or 106460396 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 100605060045 its reverse (540060506001), we get a palindrome (640665566046).

The spelling of 100605060045 in words is "one hundred billion, six hundred five million, sixty thousand, forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 106460381 319381143 532301905 745222667 958143429 1596905715 2235668001 2874430287 3726113335 4790717145 6707004003 11178340005 14372151435 20121012009 33535020015 100605060045