106457890 has 48 divisors (see below), whose sum is σ = 243186624. Its totient is φ = 33180000.

The previous prime is 106457887. The next prime is 106457891. The reversal of 106457890 is 98754601.

It is a super-2 number, since 2×106457890² = 22666564686504200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106457891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4486 + ... + 15265.

It is an arithmetic number, because the mean of its divisors is an integer number (5066388).

Almost surely, 2^106457890 is an apocalyptic number.

106457890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106457890 is an abundant number, since it is smaller than the sum of its proper divisors (136728734).

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

106457890 is a wasteful number, since it uses less digits than its factorization.

106457890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19783 (or 19776 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 106457890 is about 10317.8432823919. The cubic root of 106457890 is about 473.9428233715.

The spelling of 106457890 in words is "one hundred six million, four hundred fifty-seven thousand, eight hundred ninety".