105101640 has 192 divisors, whose sum is σ = 394243200. Its totient is φ = 23786496.

The previous prime is 105101629. The next prime is 105101641. The reversal of 105101640 is 46101501.

105101640 is a `hidden beast` number, since 10 + 5 + 10 + 1 + 640 = 666.

It is a super-2 number, since 2×105101640² = 22092709461379200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (105101641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 450964 + ... + 451196.

It is an arithmetic number, because the mean of its divisors is an integer number (2053350).

Almost surely, 2^105101640 is an apocalyptic number.

105101640 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 105101640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197121600).

105101640 is an abundant number, since it is smaller than the sum of its proper divisors (289141560).

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

105101640 is a wasteful number, since it uses less digits than its factorization.

105101640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 105101640 is about 10251.9090905060. The cubic root of 105101640 is about 471.9215731995.

The spelling of 105101640 in words is "one hundred five million, one hundred one thousand, six hundred forty".