106420436400 has 240 divisors, whose sum is σ = 367597722240. Its totient is φ = 26229196800.

The previous prime is 106420436399. The next prime is 106420436429. The reversal of 106420436400 is 4634024601.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×106420436400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 877879 + ... + 991721.

It is an arithmetic number, because the mean of its divisors is an integer number (1531657176).

Almost surely, 2^106420436400 is an apocalyptic number.

106420436400 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 106420436400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183798861120).

106420436400 is an abundant number, since it is smaller than the sum of its proper divisors (261177285840).

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

106420436400 is a wasteful number, since it uses less digits than its factorization.

106420436400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113924 (or 113913 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 106420436400 in words is "one hundred six billion, four hundred twenty million, four hundred thirty-six thousand, four hundred".