105496401240 has 256 divisors, whose sum is σ = 362600409600. Its totient is φ = 27266803200.

The previous prime is 105496401229. The next prime is 105496401277. The reversal of 105496401240 is 42104694501.

105496401240 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 9 + 6 + 401 + 240 = 666.

It is a super-2 number, since 2×105496401240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 105496401195 and 105496401204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6074970 + ... + 6092310.

It is an arithmetic number, because the mean of its divisors is an integer number (1416407850).

Almost surely, 2^105496401240 is an apocalyptic number.

105496401240 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 105496401240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181300204800).

105496401240 is an abundant number, since it is smaller than the sum of its proper divisors (257104008360).

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

105496401240 is a wasteful number, since it uses less digits than its factorization.

105496401240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17535 (or 17525 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 105496401240 in words is "one hundred five billion, four hundred ninety-six million, four hundred one thousand, two hundred forty".