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105780392704 = 28759029237
BaseRepresentation
bin110001010000100000…
…0001011001100000000
3101010001000110201100101
41202201000023030000
53213114240031304
6120332252532144
710433223334240
oct1424100131400
9333030421311
10105780392704
1140952301758
1218601781054
139c8a24775c
145196a25b20
152b419438a4
hex18a100b300

105780392704 has 36 divisors (see below), whose sum is σ = 241311524944. Its totient is φ = 45334453248.

The previous prime is 105780392687. The next prime is 105780392713. The reversal of 105780392704 is 407293087501.

It is a super-2 number, since 2×1057803927042 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29512827 + ... + 29516410.

Almost surely, 2105780392704 is an apocalyptic number.

105780392704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105780392704 is an abundant number, since it is smaller than the sum of its proper divisors (135531132240).

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

105780392704 is an frugal number, since it uses more digits than its factorization.

105780392704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59029260 (or 59029246 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 46.

The spelling of 105780392704 in words is "one hundred five billion, seven hundred eighty million, three hundred ninety-two thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1792 59029237 118058474 236116948 413204659 472233896 826409318 944467792 1652818636 1888935584 3305637272 3777871168 6611274544 7555742336 13222549088 15111484672 26445098176 52890196352 105780392704