10100051040 has 96 divisors (see below), whose sum is σ = 32263370496. Its totient is φ = 2655403520.

The previous prime is 10100051029. The next prime is 10100051057. The reversal of 10100051040 is 4015000101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10100051040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114102 + ... + 182261.

It is an arithmetic number, because the mean of its divisors is an integer number (336076776).

Almost surely, 2^10100051040 is an apocalyptic number.

10100051040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100051040 is an abundant number, since it is smaller than the sum of its proper divisors (22163319456).

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

10100051040 is a wasteful number, since it uses less digits than its factorization.

10100051040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296452 (or 296444 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

Adding to 10100051040 its reverse (4015000101), we get a palindrome (14115051141).

The spelling of 10100051040 in words is "ten billion, one hundred million, fifty-one thousand, forty".