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106336652604 = 2237131719492939
BaseRepresentation
bin110001100001000101…
…0001000110100111100
3101011110210011122110220
41203002022020310330
53220234140340404
6120503403301340
710453056430230
oct1430212106474
9334423148426
10106336652604
11411082a4a86
1218737b1a850
13a04856a320
14520a8645c0
152b756c14d9
hex18c2288d3c

106336652604 has 192 divisors, whose sum is σ = 323616384000. Its totient is φ = 26372616192.

The previous prime is 106336652603. The next prime is 106336652623. The reversal of 106336652604 is 406256633601.

It is a happy number.

It is a super-2 number, since 2×1063366526042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106336652603) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36179767 + ... + 36182705.

It is an arithmetic number, because the mean of its divisors is an integer number (1685502000).

Almost surely, 2106336652604 is an apocalyptic number.

106336652604 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106336652604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161808192000).

106336652604 is an abundant number, since it is smaller than the sum of its proper divisors (217279731396).

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

106336652604 is a wasteful number, since it uses less digits than its factorization.

106336652604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4932 (or 4930 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 42.

The spelling of 106336652604 in words is "one hundred six billion, three hundred thirty-six million, six hundred fifty-two thousand, six hundred four".