106023751040 has 64 divisors (see below), whose sum is σ = 253710450720. Its totient is φ = 42368102400.

The previous prime is 106023751039. The next prime is 106023751079. The reversal of 106023751040 is 40157320601.

106023751040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×106023751040² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106023750994 and 106023751012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 579500 + ... + 740180.

Almost surely, 2^106023751040 is an apocalyptic number.

106023751040 is a gapful number since it is divisible by the number (10) 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 106023751040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126855225360).

106023751040 is an abundant number, since it is smaller than the sum of its proper divisors (147686699680).

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

106023751040 is a wasteful number, since it uses less digits than its factorization.

106023751040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161731 (or 161719 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The spelling of 106023751040 in words is "one hundred six billion, twenty-three million, seven hundred fifty-one thousand, forty".