106042136431 has 64 divisors (see below), whose sum is σ = 136832716800. Its totient is φ = 79798118400.

The previous prime is 106042136429. The next prime is 106042136467. The reversal of 106042136431 is 134631240601.

It is a happy number.

It is not a de Polignac number, because 106042136431 - 2¹ = 106042136429 is a prime.

It is a super-2 number, since 2×106042136431² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106042136393 and 106042136402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106042136401) 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, 102061210 + ... + 102062248.

It is an arithmetic number, because the mean of its divisors is an integer number (2138011200).

Almost surely, 2^106042136431 is an apocalyptic number.

106042136431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106042136431 is a deficient number, since it is larger than the sum of its proper divisors (30790580369).

106042136431 is a wasteful number, since it uses less digits than its factorization.

106042136431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480.

The product of its (nonzero) digits is 10368, while the sum is 31.

The spelling of 106042136431 in words is "one hundred six billion, forty-two million, one hundred thirty-six thousand, four hundred thirty-one".