106241400 has 72 divisors (see below), whose sum is σ = 356800080. Its totient is φ = 28330560.

The previous prime is 106241363. The next prime is 106241419. The reversal of 106241400 is 4142601.

106241400 is a `hidden beast` number, since 1 + 0 + 624 + 1 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×106241400² = 22574470147920000, which contains 22 as substring.

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 17 ways as a sum of consecutive naturals, for example, 27712 + ... + 31311.

Almost surely, 2^106241400 is an apocalyptic number.

106241400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106241400 is an abundant number, since it is smaller than the sum of its proper divisors (250558680).

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

106241400 is a wasteful number, since it uses less digits than its factorization.

106241400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59045 (or 59033 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 106241400 is about 10307.3468943274. The cubic root of 106241400 is about 473.6213394139.

The spelling of 106241400 in words is "one hundred six million, two hundred forty-one thousand, four hundred".