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106796291980 = 22575631354939
BaseRepresentation
bin110001101110110001…
…1100001011110001100
3101012122211001202011111
41203131203201132030
53222204322320410
6121021143101404
710500340334560
oct1433543413614
9335584052144
10106796291980
11413237a4934
1218845a41864
13a0bc8606a1
1452519116a0
152ba0c15b8a
hex18dd8e178c

106796291980 has 48 divisors (see below), whose sum is σ = 256766549760. Its totient is φ = 36550807488.

The previous prime is 106796291951. The next prime is 106796291983. The reversal of 106796291980 is 89192697601.

It is a super-2 number, since 2×1067962919802 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106796291983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 598650 + ... + 756289.

It is an arithmetic number, because the mean of its divisors is an integer number (5349303120).

Almost surely, 2106796291980 is an apocalyptic number.

106796291980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106796291980 is an abundant number, since it is smaller than the sum of its proper divisors (149970257780).

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

106796291980 is a wasteful number, since it uses less digits than its factorization.

106796291980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355518 (or 1355516 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 58.

The spelling of 106796291980 in words is "one hundred six billion, seven hundred ninety-six million, two hundred ninety-one thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 563 1126 2252 2815 3941 5630 7882 11260 15764 19705 39410 78820 1354939 2709878 5419756 6774695 9484573 13549390 18969146 27098780 37938292 47422865 94845730 189691460 762830657 1525661314 3051322628 3814153285 5339814599 7628306570 10679629198 15256613140 21359258396 26699072995 53398145990 106796291980