105155400120 has 128 divisors (see below), whose sum is σ = 326485512000. Its totient is φ = 27062784000.

The previous prime is 105155400113. The next prime is 105155400127. The reversal of 105155400120 is 21004551501.

It is an interprime number because it is at equal distance from previous prime (105155400113) and next prime (105155400127).

It is a super-2 number, since 2×105155400120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105155400127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10438446 + ... + 10448514.

Almost surely, 2^105155400120 is an apocalyptic number.

105155400120 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 105155400120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163242756000).

105155400120 is an abundant number, since it is smaller than the sum of its proper divisors (221330111880).

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

105155400120 is a wasteful number, since it uses less digits than its factorization.

105155400120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13113 (or 13109 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 24.

Adding to 105155400120 its reverse (21004551501), we get a palindrome (126159951621).

The spelling of 105155400120 in words is "one hundred five billion, one hundred fifty-five million, four hundred thousand, one hundred twenty".