102105431100 has 108 divisors (see below), whose sum is σ = 321136930296. Its totient is φ = 27135116160.

The previous prime is 102105431081. The next prime is 102105431189. The reversal of 102105431100 is 1134501201.

102105431100 is a `hidden beast` number, since 1 + 0 + 2 + 10 + 543 + 110 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70099 + ... + 457301.

Almost surely, 2^102105431100 is an apocalyptic number.

102105431100 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 102105431100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160568465148).

102105431100 is an abundant number, since it is smaller than the sum of its proper divisors (219031499196).

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

102105431100 is a wasteful number, since it uses less digits than its factorization.

102105431100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387516 (or 387506 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 102105431100 its reverse (1134501201), we get a palindrome (103239932301).

The spelling of 102105431100 in words is "one hundred two billion, one hundred five million, four hundred thirty-one thousand, one hundred".