100955778 has 192 divisors, whose sum is σ = 283668480. Its totient is φ = 23587200.

The previous prime is 100955749. The next prime is 100955779. The reversal of 100955778 is 877559001.

It is a super-2 number, since 2×100955778² = 20384138223170568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100955779) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1904800 + ... + 1904852.

It is an arithmetic number, because the mean of its divisors is an integer number (1477440).

Almost surely, 2^100955778 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100955778, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141834240).

100955778 is an abundant number, since it is smaller than the sum of its proper divisors (182712702).

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

100955778 is a wasteful number, since it uses less digits than its factorization.

100955778 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 42.

The square root of 100955778 is about 10047.6752535101. The cubic root of 100955778 is about 465.6329731109.

The spelling of 100955778 in words is "one hundred million, nine hundred fifty-five thousand, seven hundred seventy-eight".