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106422464610 = 232571122767651
BaseRepresentation
bin110001100011101000…
…1011111000001100010
3101011200202122100102100
41203013101133001202
53220423122331420
6120520110431230
710455151011060
oct1430721370142
9334622570370
10106422464610
11411517858a0
1218760802516
13a060283c67
145218001030
152b7cec2190
hex18c745f062

106422464610 has 192 divisors, whose sum is σ = 346499472384. Its totient is φ = 22016016000.

The previous prime is 106422464543. The next prime is 106422464639. The reversal of 106422464610 is 16464224601.

106422464610 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 2 + 2 + 4 + 646 + 1 + 0 = 666.

It is a super-2 number, since 2×1064224646102 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1539285 + ... + 1606935.

It is an arithmetic number, because the mean of its divisors is an integer number (1804684752).

Almost surely, 2106422464610 is an apocalyptic number.

106422464610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106422464610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173249736192).

106422464610 is an abundant number, since it is smaller than the sum of its proper divisors (240077007774).

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

106422464610 is a wasteful number, since it uses less digits than its factorization.

106422464610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67909 (or 67906 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 106422464610 in words is "one hundred six billion, four hundred twenty-two million, four hundred sixty-four thousand, six hundred ten".