100051077443764 has 48 divisors (see below), whose sum is σ = 185503362362640. Its totient is φ = 47053759447040.

The previous prime is 100051077443743. The next prime is 100051077443767. The reversal of 100051077443764 is 467344770150001.

It can be written as a sum of positive squares in 8 ways, for example, as 39106637460900 + 60944439982864 = 6253530^2 + 7806692^2 .

It is a super-2 number, since 2×100051077443764² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100051077443767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1821036534 + ... + 1821091474.

It is an arithmetic number, because the mean of its divisors is an integer number (3864653382555).

Almost surely, 2^{100051077443764} is an apocalyptic number.

It is an amenable number.

100051077443764 is a deficient number, since it is larger than the sum of its proper divisors (85452284918876).

100051077443764 is a wasteful number, since it uses less digits than its factorization.

100051077443764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71028 (or 71026 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 49.

The spelling of 100051077443764 in words is "one hundred trillion, fifty-one billion, seventy-seven million, four hundred forty-three thousand, seven hundred sixty-four".