106279400 has 48 divisors (see below), whose sum is σ = 248942400. Its totient is φ = 42194880.

The previous prime is 106279391. The next prime is 106279441. The reversal of 106279400 is 4972601.

It is a super-2 number, since 2×106279400² = 22590621728720000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25889 + ... + 29711.

It is an arithmetic number, because the mean of its divisors is an integer number (5186300).

Almost surely, 2^106279400 is an apocalyptic number.

106279400 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 106279400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124471200).

106279400 is an abundant number, since it is smaller than the sum of its proper divisors (142663000).

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

106279400 is a wasteful number, since it uses less digits than its factorization.

106279400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3978 (or 3969 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 106279400 is about 10309.1900748798. The cubic root of 106279400 is about 473.6778003464.

The spelling of 106279400 in words is "one hundred six million, two hundred seventy-nine thousand, four hundred".