101054687881 has 9 divisors (see below), whose sum is σ = 117556001031. Its totient is φ = 86616396552.

The previous prime is 101054687869. The next prime is 101054687983. The reversal of 101054687881 is 188786450101.

The square root of 101054687881 is 317891.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 998876025 + 100055811856 = 31605^2 + 316316^2 .

It is not a de Polignac number, because 101054687881 - 2⁷ = 101054687753 is a prime.

It is a super-2 number, since 2×101054687881² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (101054687831) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 2202531 + ... + 2247943.

Almost surely, 2^101054687881 is an apocalyptic number.

101054687881 is the 317891-st square number.

101054687881 is the 158946-th centered octagonal number.

It is an amenable number.

101054687881 is a deficient number, since it is larger than the sum of its proper divisors (16501313150).

101054687881 is an frugal number, since it uses more digits than its factorization.

101054687881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90840 (or 45420 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 49.

Multiplying 101054687881 by its sum of digits (49), we get a square (4951679706169 = 2225237²).

101054687881 divided by its sum of digits (49) gives a square (2062340569 = 45413²).

The spelling of 101054687881 in words is "one hundred one billion, fifty-four million, six hundred eighty-seven thousand, eight hundred eighty-one".